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Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion
- Source :
- Journal of Function Spaces, Vol 2018 (2018)
- Publication Year :
- 2018
- Publisher :
- Wiley, 2018.
-
Abstract
- We consider competition systems of two species which have different dispersal strategies and interspecific competitive strengths. One of the dispersal strategies is random dispersal and the other is a Fokker-Planck diffusion whose motility is piecewise constant and jumps up when the resource is not enough. In this paper, first we show the Fokker-Planck diffusion allows ideal free distribution. Next we show the linear stability of semitrivial steady states is determined exactly by a threshold on the interspecific competitive strengths. Some conditions for coexistence and global asymptotic stability are also provided.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23148896 and 23148888
- Volume :
- 2018
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5414445fb5134c58ab8dbabb57d4462e
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2018/7879598